OPTIMIZATION TECHNIQUES IN STATISTICS

By JOSEPH WHITE

CONTENTS AUGMENTED LAGRANGIAN METHOD FOR OPTIMAL CONTROL PROBLEMS MINIMIZING SIGN CHANGES ROWWISE: CONSECUTIVE ONES PROPERTY AND BEYOND VARIATIONAL AND HEMIVARIATIONAL INEQUALITIES IN MECHANICS OF ELASTOPLASTIC, GRANULAR MEDIA, AND QUASIBRITTLE CRACKS EFFECTS OF A DISCRETE TIME DELAY ON AN HIV PANDEMIC ON THE RIEMANN PROBLEM FOR A HYPERBOLIC SYSTEM OF TEMPLE CLASS CONSEQUENCES OF WEAKALLEE EFFECT IN A LESLIE–GOWER-TYPE PREDATOR–PREY MODEL WITH A GENERALIZED HOLLING TYPE III FUNCTIONAL RESPONSE CRITICAL POINTS OF SOLUTIONS TO ELLIPTIC EQUATIONS IN PLANAR DOMAINS WITH CORNERS SUB-RIEMANNIAN GEODESICS IN THE OCTONIONIC H-TYPE GROUP REGULARIZATION OF INVERSE ILL-POSED PROBLEMS WITH L2-BV PENALIZERS AND APPLICATIONS TO SIGNAL RESTORATION STABILITY ANALYSIS OF A FINITE DIFFERENCE SCHEME FOR A NONLINEAR TIME FRACTIONAL CONVECTION DIFFUSION EQUATION DEALING WITH UNCERTAINTIES IN COMPUTING: FROM PROBABILISTIC AND INTERVAL UNCERTAINTY TO COMBINATION OF DIFFERENT TYPES OF UNCERTAINTY A UNI?ED APPROACH TO PIECEWISE LINEAR HOPF AND HOPF-PITCHFORK BIFURCATIONS OPTIMAL DECISION MAKING FOR BREAST CANCER TREATMENT IN THE PRESENCE OF CANCER REGRESSION AND TYPE II ERROR IN MAMMOGRAPHY RESULTS ON THE ITERATIVE STEERING OF A ROLLING ROBOT ACTUATED BY INTERNAL ROTORS ODONTOLOGICAL INFORMATION ALONG CONE SPLINES MODELING CELL DECISIONS IN BONE FORMATION BIODIVERSITY AND ITS ROLE ON DISEASES TRANSMISSION CYCLES SIMULATION MODEL FOR AIDS DYNAMICS AND OPTIMAL CONTROL THROUGH ANTIVIRAL TREATMENT ORBITAL RELATIVE MOVEMENT APPLIED THE FORMATION FLIGHT OF ARTI?CIAL SATELLITES AROUND THE EARTH SOME MATHEMATICAL ASPECTS IN THE EXPANDING UNIVERSE LIOUVILLIAN PROPAGATORS AND DEGENERATE PARAMETRIC AMPLI?CATION WITH TIME-DEPENDENT PUMP AMPLITUDE AND PHASE CONSTRUCTION OF SHEAR WAVE MODELS BY APPLYING MULTI-OBJECTIVE OPTIMIZATION TO MULTIPLE GEOPHYSICAL DATA SETS MULTIOBJECTIVE SEMI-IN?NITE OPTIMIZATION: CONVEXI?CATION AND PROPERLY EF?CIENT POINTS QUALITATIVE ANALYSIS OF CLIMATE SEASONALITY EFFECTS IN A MODEL OF NATIONAL ELECTRICITY MARKET NUMERICAL SIMULATION ANALYSIS OF A TRAF?C MODEL